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Finding the Fourth Proportional to 415,945.78, 574,005.18 and 224,959.12

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Solution

The fourth proportional to 415,945.78, 574,005.18 and 224,959.12 is: 310,443.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,945.78 : 574,005.18 = 224,959.12 : x
  2. Step 2: Convert to fraction form
    415,945.78/574,005.18 = 224,959.12/x
  3. Step 3: Cross multiply
    415,945.78x = 574,005.18 × 224,959.12
  4. Step 4: Simplify right side
    415,945.78x = 129,127,700,168.24
  5. Step 5: Solve for x
    x = 129,127,700,168.24/415,945.78
  6. Step 6: Final answer
    x = 310,443.59

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.